show that any positive integer is of the form 4q ,4q 1, 4q 2 or 4q 3 .
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A hint is given in the book of rs aggarwal class 10th.
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Hlo mate ☺
Step-by-step explanation:
a = bq + r
b = 4
Possible values of r = 0,1,2,3
Possible values of a will be :
a = 4q + 0 = 4q
a = 4q + 1
a = 4q + 2
a = 4q + 3
4q , 4q + 2 are divisible by 2. Therefore, are even positive integers.
even positive integers.4q + 1 , 4q + 3 are not divisible by 2. Hence, are Odd Positive integers.
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